Magma V2.19-8 Tue Aug 20 2013 16:14:13 on localhost [Seed = 2631729331] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s184 geometric_solution 4.28405304 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 1 2 0 3201 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 0 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.905307069183 0.577047750747 2 0 3 3 2103 0132 2310 0132 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172345388348 1.162899461220 4 4 1 0 0132 2310 2103 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172345388348 1.162899461220 5 1 1 5 0132 3201 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.280898068054 0.396233344680 2 5 5 2 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.280898068054 0.396233344680 3 3 4 4 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.190727447689 1.679633905883 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 889645/16641408*c_0101_5^9 - 3158455/16641408*c_0101_5^8 - 64133/693392*c_0101_5^7 - 1165403/5547136*c_0101_5^6 + 1441615/594336*c_0101_5^5 + 9893903/4160352*c_0101_5^4 + 9463025/2080176*c_0101_5^3 - 1068387/173348*c_0101_5^2 - 1321947/173348*c_0101_5 - 1810883/260022, c_0011_0 - 1, c_0011_2 + 771/396224*c_0101_5^9 + 9763/1188672*c_0101_5^8 + 29/74292*c_0101_5^7 + 4637/1188672*c_0101_5^6 - 1603/297168*c_0101_5^5 - 37799/297168*c_0101_5^4 + 14017/148584*c_0101_5^3 - 1459/37146*c_0101_5^2 + 76/18573*c_0101_5 - 4337/18573, c_0011_3 + 771/396224*c_0101_5^9 + 9763/1188672*c_0101_5^8 + 29/74292*c_0101_5^7 + 4637/1188672*c_0101_5^6 - 1603/297168*c_0101_5^5 - 37799/297168*c_0101_5^4 + 14017/148584*c_0101_5^3 - 1459/37146*c_0101_5^2 + 76/18573*c_0101_5 - 4337/18573, c_0101_0 - 1669/1188672*c_0101_5^9 + 59/1188672*c_0101_5^8 + 3091/198112*c_0101_5^7 + 4113/396224*c_0101_5^6 + 71303/594336*c_0101_5^5 - 2200/18573*c_0101_5^4 - 12277/148584*c_0101_5^3 - 11353/12382*c_0101_5^2 - 1229/6191*c_0101_5 + 2107/18573, c_0101_1 - 2107/1188672*c_0101_5^9 - 9659/1188672*c_0101_5^8 + 59/594336*c_0101_5^7 + 26557/1188672*c_0101_5^6 + 58693/594336*c_0101_5^5 + 40919/148584*c_0101_5^4 - 2293/18573*c_0101_5^3 - 24919/74292*c_0101_5^2 - 17593/18573*c_0101_5 - 2458/6191, c_0101_5^10 + 3*c_0101_5^9 + 5*c_0101_5^7 - 44*c_0101_5^6 - 20*c_0101_5^5 - 64*c_0101_5^4 + 96*c_0101_5^3 + 64*c_0101_5^2 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.200 seconds, Total memory usage: 32.09MB